Search a number
-
+
4131302420 = 2257315571709
BaseRepresentation
bin1111011000111110…
…1010110000010100
3101122220202220111202
43312033222300110
531430103134140
61521540052032
7204243330320
oct36617526024
911586686452
104131302420
111830015723
12973694018
1350aba4c5b
142b2972980
15192a5e915
hexf63eac14

4131302420 has 96 divisors (see below), whose sum is σ = 10259343360. Its totient is φ = 1367493120.

The previous prime is 4131302419. The next prime is 4131302467. The reversal of 4131302420 is 242031314.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4131302392 and 4131302401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2416526 + ... + 2418234.

It is an arithmetic number, because the mean of its divisors is an integer number (106868160).

Almost surely, 24131302420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4131302420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5129671680).

4131302420 is an abundant number, since it is smaller than the sum of its proper divisors (6128040940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4131302420 is a wasteful number, since it uses less digits than its factorization.

4131302420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4131302420 is about 64275.2084399576. The cubic root of 4131302420 is about 1604.5835262868.

Adding to 4131302420 its reverse (242031314), we get a palindrome (4373333734).

The spelling of 4131302420 in words is "four billion, one hundred thirty-one million, three hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 557 620 868 1085 1114 1709 2170 2228 2785 3418 3899 4340 5570 6836 7798 8545 11140 11963 15596 17090 17267 19495 23926 34180 34534 38990 47852 52979 59815 69068 77980 86335 105958 119630 120869 172670 211916 239260 241738 264895 345340 370853 483476 529790 604345 741706 951913 1059580 1208690 1483412 1854265 1903826 2417380 3708530 3807652 4759565 6663391 7417060 9519130 13326782 19038260 26653564 29509303 33316955 59018606 66633910 118037212 133267820 147546515 206565121 295093030 413130242 590186060 826260484 1032825605 2065651210 4131302420